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Finding the Fourth Proportional to 1,889.37, 2,832.44 and 1,118.25

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Solution

The fourth proportional to 1,889.37, 2,832.44 and 1,118.25 is: 1,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.37 : 2,832.44 = 1,118.25 : x
  2. Step 2: Convert to fraction form
    1,889.37/2,832.44 = 1,118.25/x
  3. Step 3: Cross multiply
    1,889.37x = 2,832.44 × 1,118.25
  4. Step 4: Simplify right side
    1,889.37x = 3,167,370.44
  5. Step 5: Solve for x
    x = 3,167,370.44/1,889.37
  6. Step 6: Final answer
    x = 1,676.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.